Theorems · Definition · category theory

AlgebraicTopology.DoldKan.MorphComponents.id

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [CategoryTheory.Preadditive C] →
      (X : CategoryTheory.SimplicialObject C) →
        (n : ℕ) → AlgebraicTopology.DoldKan.MorphComponents X n (X.obj (Opposite.op { len := n + 1 }))

the canonical MorphComponents whose associated morphism is the identity (see F_id) thanks to decomposition_Q n (n+1)

Defined in

Mathlib.AlgebraicTopology.DoldKan.Decomposition

Cited by

3 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive